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in the figure given below , if the ...

in the figure given below , if the areas of the regions are equal then which of the following is true ?

A

x=y

B

x=2y

C

2x=y

D

x=3y

Text Solution

Verified by Experts

The correct Answer is:
B

area `(i) =x.2y+(1)/(2) (2y+y)x." area " (ii) =2x.2y-(1)/(2) sqrt(2)y.sqrt(2)y.`
`=2xy+(3xy)/(2) = 4xy-y^(2)`
`=(7xy)/(2)`
` therefore ` area (i) = area (ii)
`(7xy)/(2) =4xy-y^(2) `
` implies 7xy= 8xy-2y^(2) `
`implies 2y^(2) =xy=? 2y=x`
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